Special Problems Related to Linear Equation Solvers

by Christian Meyer, (A.M.ASCE), Struct. Engr.; Stone & Webster Engrg. Corp., Boston, Mass.,

Serial Information: Journal of the Structural Division, 1975, Vol. 101, Issue 4, Pg. 867-888

Document Type: Journal Paper


The various solution methods are fairly well documented in the literature, and a survey of research on the special problems related to linear equation solvers is needed. It is the intent of this paper to describe and compare the various schemes developed for the solution of large sets of equations, with particular emphasis on file handling operations. The brief summary of the problems associated with boundary conditions and multiple-load cases is followed by a survey of research on reanalysis techniques, which have gained increased importance in recent years in the field of structural engineering. Problems associated with numerical error are examined, whereby the structural engineer's preference for physical interpretations of mathematical phenomena is respected. A comprehensive bibliography, divided into various categories covering the entire field of linear equation solvers, concludes the paper.

Subject Headings: Linear functions | Surveying methods | Boundary conditions | Geomatic surveys | Structural engineering | Numerical methods | Bibliographies

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